Finding the Third Proportional to 16,180 and 35,365

Step by Step Solution

1. Step 1: Write the proportion equation
   16,180 : 35,365 = 35,365 : x
2. Step 2: Convert to fraction form
   16,180/35,365 = 35,365/x
3. Step 3: Cross multiply
   16,180x = 35,365 × 35,365
4. Step 4: Simplify right side
   16,180x = 1,250,683,225
5. Step 5: Solve for x
   x = 1,250,683,225/16,180
6. Step 6: Final answer
   x = 77,298.10